Semi‐global containment of discrete‐time high‐order multi‐agent systems with input saturation via intermittent control

Abstract

This study investigates the intermittent semi‐global containment of discrete‐time high‐order multi‐agent systems with input saturation. The intermittent semi‐global containment protocol is proposed based on discrete‐time low‐gain state feedback control. Some containment conditions are obtained, and the convergence analysis is given. It is turned out that all the followers beginning from a bounded initial set will asymptotically enter into the convex hull spanned by the leaders under the proposed protocol. Moveover, intermittent semi‐global leader‐following consensus with input saturation is considered as a special case, and the corresponding result is introduced. Finally, numerical simulations are presented to illustrate the theoretical findings.